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42312141312 = 293722232521
BaseRepresentation
bin100111011010000000…
…000000101000000000
311001012210202111002220
4213122000000220000
51143123402010222
631234332011040
73025351160400
oct473200005000
9131183674086
1042312141312
1116a43112031
12824a300a80
133cb40b8b0c
1420956ba800
1511799a5b5c
hex9da000a00

42312141312 has 240 divisors, whose sum is σ = 131766066432. Its totient is φ = 12030197760.

The previous prime is 42312141301. The next prime is 42312141323. The reversal of 42312141312 is 21314121324.

It is an interprime number because it is at equal distance from previous prime (42312141301) and next prime (42312141323).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16782612 + ... + 16785132.

Almost surely, 242312141312 is an apocalyptic number.

42312141312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65883033216).

42312141312 is an abundant number, since it is smaller than the sum of its proper divisors (89453925120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42312141312 is a wasteful number, since it uses less digits than its factorization.

42312141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2756 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 42312141312 its reverse (21314121324), we get a palindrome (63626262636).

The spelling of 42312141312 in words is "forty-two billion, three hundred twelve million, one hundred forty-one thousand, three hundred twelve".